editing disabled

For most of its generator range, this MOS is the chromatic scale of the family of temperaments which divide the perfect fifth into four equal parts, thus representing 81:80 (the syntonic comma) by +7 or -13 generators. In fact, this comma, which may be exaggerated until the point where it is 60¢, appears as the difference between the generator and the disjunct tone and as the small step when the generator is flatter than 3/20edo.
Generator
cents
Syntonic comma
cents
Generator
1/7


171 3/7
0
184 8/13


2/13
6/41


175 25/41
29 11/41
20 20/59
183 3/59


9/59

23/157

175.796
30.573
21.525
182.96

34/223


17/116

175 25/29
31 1/29
21 39/41
182 38/41

25/164


11/75

176
32
22 6/7
182 6/7

16/105


16/109

176.147
33.0275
23.841
182.7815

23/151


21/143

176.224
33.5665
24.3655
182.721

30/197


26/177

176 16/59
33 53/59
24 56/81
182 20/27

37/243


31/211

176.303
34.171
24.9135
182.72

44/289


36/245

176 16/49
34 2/7
25 5/67
182 46/67

51/335

5/34


176 8/17
35 5/17
26 1/23
182 14/23


7/46

24/163

176.687
36.872
27.843
182.4885

33/217


19/129

176 32/43
37 9/43
28 4/57
182 26/57

26/171


14/95

176 16/19
37 17/19
28.8
182.4

19/125



23/156
176 12/13
38 6/13
29 7/17
182 6/17
31/204



9/61

177 3/61
39 21/61
30 30/79
182 22/79

12/79



22/149
177.181
40.2685
31.414
182.199
29/191



13/88

177 3/11
40 10/11
32 1/7
182 1/7

17/112


17/115

177 9/23
41 17/23
33 3/29
182 2/29

22/145


21/142

177 33/71
42 18/71
33 63/89
182 2/89

27/178


25/169

177.515
42.604
33.825
181.9905

32/211


29/196

177 27/49
42 6/7
34 26/61
181 59/61

37/244




177.553
42.871
34.542
181.958




33/223

177.5785
43.049
34.657
181.9495

42/277


37/250

177.6
43.2
34 26/31
181 29/31

47/310


41/277

177.617
43.321
34.985
181.924

52/343


45/304

177 12/19
43 8/19
35 5/47
181 43/47

57/376

4/27


177 7/9
44 4/9
36 4/11
181 9/11


5/33

39/263

177.947
45.585
37.539
181.7035

48/317


35/236

177 57/59
45 45/59
38 2/71
181 49/71

43/284


31/209

177.99
45.933
38.247
181.673

38/251


27/182

178 2/91
46 2/13
38.514
181.651

33/218


23/155

178 2/31
46 14/31
38 34/37
181 23/37

28/185


19/128

178.125
46.875
39 9/19
181 11/19

23/152


15/101

178.218
47.525
40.336
181.513

18/119




178.278
47.946
41.099
181.453




11/74

178 14/37
48 24/37
41 37/43
181 17/43

13/86



29/195
178 6/13
49 3/13
42 2/3
181 1/3
34/225



18/121

178.512
49.587
43.1655
181.295

21/139


25/168

178 4/7
50
43.75
181.25

29/192


32/215

178.605
50.233
44 4/49
181 11/49

37/245

7/47


178 34/47
51 3/47
45 15/53
181 7/53


8/53

24/161

178.882
52.174
46.927
181.006

27/179


17/114

178 18/19
52 12/19
47 13/21
180 20/21

19/126


27/181

179 1/181
53 7/181
48.241
180.814

30/199

10/67


179 7/67
53 49/67
49 23/73
180 42/73


11/73

23/154

179 17/77
54 6/11
50 50/83
180 42/83

25/166

13/87


179 9/29
55 5/29
51 19/31
180 14/31


14/93
3/20


180
60
180


3/20